1. What is Reactant Concentration for First Order Reaction in Vessel i?

Definition: This calculator determines the concentration of reactant in vessel i based on the concentration in the previous vessel, reaction rate constant, and adjusted retention time.

Purpose: It helps chemical engineers and researchers analyze reaction progression in series of vessels or reactors.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C_i \) — Reactant concentration in vessel i (mol/m³)
• \( C_{i-1} \) — Reactant concentration in previous vessel (mol/m³)
• \( k' \) — Rate constant for first order reaction (1/s)
• \( t_{rC2}' \) — Adjusted retention time of component 2 (s)

Explanation: The formula calculates how reactant concentration decreases as it moves through successive vessels in a first-order reaction system.

3. Importance of Reactant Concentration Calculation

Details: Accurate concentration calculations are essential for reaction optimization, process control, and predicting product yields in continuous flow systems.

4. Using the Calculator

Tips: Enter the reactant concentration from the previous vessel, the reaction rate constant, and the adjusted retention time. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a first-order reaction?
A: A reaction where the rate depends linearly on the concentration of one reactant.

Q2: How do I determine the rate constant?
A: The rate constant can be determined experimentally by measuring reaction rates at different concentrations.

Q3: What affects the adjusted retention time?
A: Column length, mobile phase flow rate, and interactions between the component and stationary phase.

Q4: Can this be used for batch reactors?
A: This specific formula is designed for continuous flow systems with vessels in series.

Q5: How does vessel number affect concentration?
A: Each successive vessel will show decreasing reactant concentration according to this relationship.